Middle grade student's abilities in translating among representations of fractions

Download

index.pdf

Date

2006

Author

Kurt, Gönül

Metadata

Show full item record

Item Usage Stats

197
views

56
downloads

The aim of the study is two fold: (1) to determine middle grade students̕ abilities in translating among representations of fractions concept and (2) to investigate the effect of grade level and gender on students̕ abilities in translating among representations. In this study the أTranslations among Representations Abilities Test (TRAT)ؤ was developed and used as a measuring instrument. The study was conducted in 19 randomly selected public elementary schools throughout Yenimahalle and Çankaya districts of Ankara with a total of 1456 sixth, seventh, and eight grade students in 2005-2006 fall semester. Each student̕s responses which were considered as incorrect were examined according to their grade levels. Based on the findings, the most frequent incorrect response types, the easiest, and the most difficult items were identified. In addition to these findings, two-way analysis of variance model (ANOVA) was used in order to investigate the effects of grade level and gender on students̕ total scores on the TRAT. To the results of the examinations of students̕ responses, it was seen that students̕ abilities in translating among representations of fractions were low. The most frequent incorrect responses were seen in translations which include number line models and region models representing improper fractions. The lowest mean score was belonged to the sixth graders; while the highest mean score was belong to the eighth graders. Results of the statistical analyses revealed that grade level had a statistically significant main effect on students̕ abilities in translating among representations. Additionally, it was seen that, female students had higher mean scores on the TRAT than males.

Subject Keywords

School education.

URI

http://etd.lib.metu.edu.tr/upload/3/12607012/index.pdf
https://hdl.handle.net/11511/15650

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

Investigation of self-regulated learning and motivational beliefs in mathematics achievement Ergöz, Gülnur; Bulut, Safure; Department of Secondary Science and Mathematics Education (2008) The purposes of this study are to investigate how mathematics achievement can be explained in terms of motivational beliefs (intrinsic goal orientation, extrinsic goal orientation, task value, control and learning beliefs, self efficacy for learning and performance and test anxiety), self-regulated learning components (cognitive strategy use and self-regulation), gender and school types and to determine the differences between two gender (girls and boys) and two school types (public schools and private scho...
Project-based geometry learning: Knowledge and attitude of field-dependent/independent cognitive style students Ubuz, Behiye (Informa UK Limited, 2019-01-01) The authors in a convergent parallel mixed method design aimed to investigate whether and how the geometry knowledge and attitude toward geometry of students with field-dependent/independent cognitive style improve differentially within a project-based learning environment. Quantitative data were collected from 97 seventh-grade students before and after the treatment. Repeated measures multivariate analysis of covariance results, controlling for gender and prior mathematics achievement, revealed a statistic...
Analysis of a Content-based Needs Assessment Survey for Physics Teachers OKTAY, Özlem; Eryılmaz, Ali (Hacettepe University, 2020-04-01) The purpose of the study is to develop and analyze a content-based needs assessment survey for physics teachers. With this aim, a Teacher Survey on the Nature of Physics (TSNOP) was developed as a measurement instrument for the study. The TSNOP was used to identify inservice physics teachers' needs, wishes, expectations and problems for the Nature of Physics (NOP) unit of a Professional Development Program (PDP). A total of 60 inservice physics teachers participated in the study. TSNOP includes four specifi...
Middle school students' proportional reasoning in real life contexts in the domain of geometry and measurement Ayan Civak, Rukiye; IŞIKSAL BOSTAN, MİNE (2019-01-01) The purpose of this study was to examine middle school students' proportional reasoning, solution strategies and difficulties in real life contexts in the domain of geometry and measurement. The underlying reasons of the difficulties were investigated as well. Mixed research design was adopted for the aims of the study by collecting data through an achievement test from 935 sixth, seventh and eighth grade students. The achievement test included real life problems that required proportional reasoning, and we...
Middle school mathematics teachers' pedagogical content knowledge in relation to statistical reasoning Gokce, Rukiye; Kazak, Sibel (2017-01-01) To investigate middle school mathematics teachers' pedagogical content knowledge (PCK) with regard to statistical reasoning, an interview protocol was developed and used with nine teachers. This paper focuses on one of the problems in this interview protocol (Basketball problem) to illustrate teachers PCK in relation to four components: big ideas, student responses, student difficulties, and instructional intervention. Our analyses showed that levels of teachers' PCK varied in each component. Teachers had d...

Citation Formats

G. Kurt, “Middle grade student’s abilities in translating among representations of fractions,” M.S. - Master of Science, Middle East Technical University, 2006.